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Recurrence Relations : Stirling Numbers

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A stirling number Snk is defined as the number of ways to partition the set of positive numbers (1,2,3....n) into k non empty subsets.

By considering whether or not the singleton subset (n) is included in a partition or not show: Snk = Sn-1,k-1 - kSn-1,k

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Proof:
is defined as the number of ways to partition the set into nonempty subsets. ...

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